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Simplifying 7c + -4 = 2 + 3(5c + 2) Reorder the terms: -4 + 7c = 2 + 3(5c + 2) Reorder the terms: -4 + 7c = 2 + 3(2 + 5c) -4 + 7c = 2 + (2 * 3 + 5c * 3) -4 + 7c = 2 + (6 + 15c) Combine like terms: 2 + 6 = 8 -4 + 7c = 8 + 15c Solving -4 + 7c = 8 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -4 + 7c + -15c = 8 + 15c + -15c Combine like terms: 7c + -15c = -8c -4 + -8c = 8 + 15c + -15c Combine like terms: 15c + -15c = 0 -4 + -8c = 8 + 0 -4 + -8c = 8 Add '4' to each side of the equation. -4 + 4 + -8c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -8c = 8 + 4 -8c = 8 + 4 Combine like terms: 8 + 4 = 12 -8c = 12 Divide each side by '-8'. c = -1.5 Simplifying c = -1.5
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